Self-affine two dimensional intermittency in (28)Si-Ag/Br interaction at 14.5-GeV

Abstract

The density fluctuation of the final state charged mesons are investigated in terms of two-dimensional scaled factorial moments in 28 Si‐Ag/Br interaction at an incident energy of 14:5GeV per nucleon. The experimental results are compared with a microscopic transport model based on the Ultra-relativistic Quantum Molecular Dynamics (UrQMD). To accommodate the Bose‐Einstein type correlation, that dominates the origin of intermittency, an algorithm based on reassigning charges of produced particles has been employed to the UrQMD data. However, our investigation shows that a strong self-ane intermittent behavior in the experiment still cannot be replicated by the simulation. The Hurst exponent is used to account for the experimentally observed anisotropy in the pseudorapidity — azimuthal angle plane. The usual power law type of scaling behavior of the factorial moments, typical of intermittency in one dimension, is retrieved only when independent phase-space directions are partitioned unequally. Several issues related to the underlying (multi)fractal structure of the density function are also examined.